As long as you have access to the page and a direct admin role on that page, you can request a name change on the page.
New Pages Experience
1. Go to your Facebook Page
2. Go to Settings
3. Under “General Page settings” go to “Name” and click “Edit”
4. Click “Review Change” to request Facebook for the name change
After this process, Facebook will review your name change.
Classic Pages
To change your name in Classic Pages:
1. Go to your Facebook Page
2. Click Edit Page Info
3. Under General, edit the name and confirm changes for Facebook to review
After this process, Facebook will review your name change.